Search a number
-
+
131410204020 = 22325839870151
BaseRepresentation
bin111101001100010101…
…0001001010101110100
3110120012012111000212100
41322120222021111310
54123112003012040
6140211412422100
712331316206224
oct1723052112564
9416165430770
10131410204020
11508046a82a7
1221575017930
13c5130b6994
1465088b6084
153641a71b30
hex1e98a89574

131410204020 has 72 divisors (see below), whose sum is σ = 399086513280. Its totient is φ = 35000913600.

The previous prime is 131410203961. The next prime is 131410204027. The reversal of 131410204020 is 20402014131.

131410204020 is a `hidden beast` number, since 1 + 31 + 410 + 204 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131410203984 and 131410204002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131410204027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284056 + ... + 586095.

It is an arithmetic number, because the mean of its divisors is an integer number (5542868240).

Almost surely, 2131410204020 is an apocalyptic number.

131410204020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131410204020 is an abundant number, since it is smaller than the sum of its proper divisors (267676309260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131410204020 is a wasteful number, since it uses less digits than its factorization.

131410204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871005 (or 871000 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 131410204020 its reverse (20402014131), we get a palindrome (151812218151).

The spelling of 131410204020 in words is "one hundred thirty-one billion, four hundred ten million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 839 1678 2517 3356 4195 5034 7551 8390 10068 12585 15102 16780 25170 30204 37755 50340 75510 151020 870151 1740302 2610453 3480604 4350755 5220906 7831359 8701510 10441812 13052265 15662718 17403020 26104530 31325436 39156795 52209060 78313590 156627180 730056689 1460113378 2190170067 2920226756 3650283445 4380340134 6570510201 7300566890 8760680268 10950850335 13141020402 14601133780 21901700670 26282040804 32852551005 43803401340 65705102010 131410204020